Electrons in a synchrotron

In a synchrotron, electrons are accelerated to speeds close to the speed of light \(v \approx c \approx 3\times 10^{8}~\mbox{m/s}\) Suppose that in a synchrotron, 100 billion (\(10^{11}\)) electrons move in a circular orbit of circumference \(L=300~\mbox{m}\) . Determine the electric current in Amps due the flow of electrons in the synchrotron. You may assume that the electrons are homogeneously distributed over the circular orbit.

Details and assumptions

The magnitude of the charge of the electron is \(e=1.6\times 10^{-19}~\mbox{C}\).

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